With the obtained couplings \(g_{P_{cs}}\) , the total decay width of the \(P_{cs}(4459)\)  can be calculated straightforwardly.
We show the dependence of the total decay width on the cutoff \(\Lambda \)  in Fig. REF . In the present calculation,
we vary \(\Lambda \)  from 0.9 to 1.1 GeV. In this cutoff range, the total decay width increases for the cases of \(J^P=1/2^{-}\) 
and \(J^{P}=3/2^{-}\) . As shown in Fig. REF , the cyan bands in these plots denote the experimental data.
For the case of \(J^P=3/2^{-}\) , the predicted total decay width increases from 28.54 to 39.86 MeV and is a little bigger than
the experimental total width, which disfavors such a spin-parity assignment for the \(P_{cs}(4459)\)  in the \(\Xi _c\bar{D}^{*}\) 
molecular picture. In other words, the decay width of the observed \(P_{cs}(4459)\)  in \(J^P=3/2^{-}\)  case can not be well
reproduced in a pure \(\bar{D}^{*}\Xi _c\)  molecular state picture. Follow the strategy in Ref. [1]}, the
\(P_{cs}(4459)\)  maybe a meson-baryon molecules with a lager \(\bar{D}^{*}\Xi _c\)  component. This is the same with the results
by He et al. [2]}, [3]} that the \(P_{cs}(4459)\)  can be explained as \(S\) -wave coupled bound states
with spin-parity \(J^P=3/2^{-}\) .
